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There are 7 Hindi songs and 5 English songs in the playlist. In how many ways a person can select 8 songs such that all 5 English songs are selected always? 

There are 7 Hindi songs and 5 English songs in the playlist. In how many ways a person can select 8 songs such that all 5 English songs are selected always?  Correct Answer 35

GIVEN:

There are 7 Hindi songs and 5 English songs in the playlist.

CONCEPT:

Basic concept of Permutation and combination

Number of ways to select ‘a’ out of ‘b’ = bCa

CALCULATION:

All 5 English songs are selected always.

Remaining 3 songs will be selected out of 7 Hindi songs.

Required number of ways = 5C5 × 7C3

⇒ 35

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